Biomedical Engineering / Defibrillator Transthoracic Discharge
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LABORATORY 40 · BIOMEDICAL ENGINEERING

External Defibrillator RLC Damped Sinusoidal Discharge & Transthoracic Impedance

Evaluate the peak discharge current I_peak of a clinical external defibrillator across human transthoracic impedances (TTI) using an RLC damped sinusoidal circuit. Explore interactive physiological instrumentation simulation, biomechanics, and biomedical engineering telemetry.

BIOINSTRUMENTATION · BIOSIGNALS · BIOMECHANICS · IMAGING

Your virtual biomedical engineering laboratory.

PEAK DEFIBRILLATION DISCHARGE CURRENT I_PEAK—
PHYSIOLOGICAL & TEST CELL TELEMETRY

Ready to sample with Impedance R_th = 60.0 Ω.

60.0 Ω
Defibrillator: External RLC damped sinusoidal unit (200 Joules delivered setting)

Adjust Impedance R_th, then execute biomedical trial.

Biomedical engineering telemetry and physiological states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity biological and physiological modeling.

Biomedical assumptions and boundary condition limits

The linear current-impedance model applies across normal clinical human adult impedances (30 to 105 Ω); extreme impedances exhibit non-linear RLC damping transitions. Evaluated on a clinical external defibrillator set to 200 Joules delivered energy (internal storage capacitor C = 32 μF charged to V_0 = 3600 V, internal choke inductor L = 50 mH, internal coil resistance r_i = 12 Ω). Discharging into precision non-inductive load resistors representing patient transthoracic impedance R_th from 30.0 to 105.0 Ω. Linear peak current slope k_r = 0.3500 A/Ω with intercept I_0 = 68.0000 A.

Biomedical apparatus & physiological sensors.

Clinical High-Energy External Defibrillator Unit

Delivers calibrated 200 J defibrillation shocks with synchronized cardioversion capability.

High-Voltage Defibrillator Analyzer & Load Bank (Fluke Impulse 7000DP)

Provides certified non-inductive load resistances (30 to 105 Ω) and measures pulse energy, current, and voltage.

Calibrated 1000:1 High-Voltage Passive Probe (Tektronix P6015A)

Scales kilovolt discharge waveforms safely for digital oscilloscope acquisition (75 MHz bandwidth).

Fast Current Transformer / Rogowski Coil (100 A full scale)

Measures peak discharge current I_peak with sub-microsecond rise-time response.

Self-Adhesive Adult Defibrillation Electrode Pads (80 cm²)

Standard hydrogel-coated clinical electrode pads designed for anterolateral chest placement.

High-Speed Isolated Digital Storage Oscilloscope (200 MS/s)

Digitizes high-voltage damped sinusoidal current and voltage discharge waveforms.

FOLLOW THE METHOD

A reason behind every step.

Evaluate the peak discharge current I_peak of a clinical external defibrillator across human transthoracic impedances (TTI) using an RLC damped sinusoidal circuit. Standardized parameter settings: 30.0, 45.0, 60.0, 75.0, 90.0, 105.0 Ω.

01

High-Voltage Safety and Analyzer Setup

Connect defibrillator paddle cables to high-voltage analyzer load bank; verify equipment grounding and post high-voltage safety warning signage.

02

Defibrillator Energy Selection

Power on defibrillator and select standard adult energy level: 200 Joules delivered into 50 Ω.

03

Transthoracic Load Resistance Initialization

Configure analyzer precision non-inductive load resistance to R_th = 30.0 Ω and arm the measurement digitizer.

04

Capacitor Charging and Discharge Execution

Charge the internal capacitor bank to full 200 J potential; clear the testing perimeter and depress the shock discharge button.

05

Peak Discharge Current Capture

Capture the damped sinusoidal current waveform on the analyzer oscilloscope and record peak current I_peak (A) and total delivered energy (J).

06

Transthoracic Impedance Progression

Increment load resistance through 45.0, 60.0, 75.0, 90.0, and 105.0 Ω, executing standardized 200 J discharges and recording peak current at each step.

07

Current-Impedance Sensitivity Regression

Plot peak discharge current I_peak versus transthoracic impedance R_th and calculate sensitivity slope k_r and zero-impedance current I_0 via linear regression.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into biomedical engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Defibrillator Transthoracic Discharge mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
I_peak = -k_r · R_th + I_0 = -0.3500 · R_th + 68.0000
#Patient Transthoracic Impedance R_th (Ω)Peak Defibrillation Discharge Current I_peak (A)Transthoracic impedance R_th (Ω)Peak discharge current I_peak (A)Remove

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CHECK YOUR UNDERSTANDING

Explain what the biomedical metrics mean.

What is the primary lethal cardiac arrhythmia that requires immediate electrical defibrillation?

What happens to the peak discharge current I_peak delivered to a patient if transthoracic impedance R_th increases?

If patient impedance is R_th = 60.0 Ω and peak current is I_peak = 47.00 A with baseline I_0 = 68.00 A, what is slope k_r?

Why is an inductor placed in series with the storage capacitor in an RLC defibrillator circuit?